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This problem trains for: SAT-I, AMC-8, GMAT, AMC-10, AMC-12.

Knowing that:

equation

and

equation

where a, b have real non-zero values, calculate the value of:

equation

First, let us work on the first identity. Notice it is a perfect square:

equation

equation

equation

where from we can get the value of a2:

equation

Now do the same for the second identity:

equation

equation

equation

equation

and the desired value is:

equation